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Abstract

Reconfiguration is a computational algorithm of adaptively updating computer generated holograms (CGHs) for the positional change of an observer’s viewing window with low computational load by efficiently using pre-calculated elementary CGHs. A fast reconfiguration algorithm of CGHs for three-dimensional mesh objects is proposed. Remarkable improvement is achieved in the computation speed of CGHs, which is at least 20-times faster than repetitive re-computation of CGHs. The image quality of reconfigured CGHs is analyzed.

Figures (6)

Holographic 3D display with a Fourier transform optical system. The complex angular spectrum of the image light field is displayed at the holographic display panel, and the observer can see floating holographic 3D images at a specific position where the crystalline lens is matched to the VW of the holographic display.

Vignetting effect on holographic 3D image seen in observation simulation. (a) light field distribution at the eye pupil plane in the case of light convergence (b) observed 3D image with a focus on the far object (c) observed 3D image with a focus on the near object (d) light field distribution at the human eye pupil plane in the case that light field is vignetted by the finite human pupil (e) observed vignetted 3D image with a focus on the far object (f) observed vignetted 3D image with a focus on the near object .

Comparison of the quality of the holographic images generated by reconfiguration and recomputation. (a) and (d) are the numerically reconstructed holographic 3D images observed at two different VW positions with the left part focused. For (a) and (d), the corresponding ASCGH patterns were totally recomputed. (b) and (e) are the numerically reconstructed holographic 3D images generated by the ASCGHs obtained by the reconfiguration of the original ASCGH that is designed for the VW located on the optical axis. (c) Phase profile of reconfigured complex ASCGH in the angular spectrum domain for the first VW position and (f) that for the second VW position. The distance of the center of mass of the object from the eye lens is set to 300mm.

Comparison of the quality and computation time of the holographic images generated by reconfiguration and recomputation. The height of the object is 8mm and the distance of the object from the crystalline lens plane is set to 300mm. (a) and (d) are the numerically reconstructed holographic 3D images observed at two different VW positions with the left part focused. The corresponding ASCGH patterns were totally recomputed. (b) and (e) are the numerically reconstructed holographic 3D images generated by the ASCGHs obtained by the reconfiguration of the original ASCGH that is designed for the VW located on the optical axis. (c) Phase profile of reconfigured complex ASCGH in the angular spectrum domain for the first VW position and (f) that for the second VW position.

(a) Setup for analyzing the accuracy of reconfiguration algorithm and estimation of accuracy of the reconfiguration algorithm (b) RMSE (%) of a triangle facet on the x-y plane, and (c) RMSE(%) of triangle 45(deg.)-tilted relative to the normal vector of the x-y plane